- The magnitude of the normal force that the floor exerts on the chair is 93.79 N
- coefficient of static friction μ is 0.32
What is coefficient of static friction?
- The resistive force of friction (Fr) divided by the normal or perpendicular force (N) pushing the objects together yields the coefficient of friction (fr), which is a numerical value. The formula fr = Fr/N serves as a representation of it.
- "The highest ratio of applied force to normal force with no motion is called the coefficient of static friction." We all understand that a force called friction resists motion. If we carefully notice, there is a point at which the body opposes movement after force is applied to move it from rest.
- The things that are creating friction determine the coefficient of static friction's value. Its value typically ranges from 0 to 1, but it can also be higher than 1.
Given details :
- Weight of chair W = 70 N
- Force P = 39 N
- Angle = 38°
1.Force equilibrium in x direction
∑ [tex]F{x}[/tex] = 0
F - 39 cos Ф = 0
As Ф = 38°
F = 39 cos38°
F = 30.73 N
Force equilibrium in y direction
∑ [tex]F{y}[/tex] = 0
N = W + P sin38°
= 70 + 39 sin38°
N = 93.79 N
Thus the normal force on chair = 93.79 N
From the free body diagram
F = μN
30.73 = μ x 93.79
μ = 30.73 / 93.79 = 0.32
Learn more about coefficient of static friction refer to :
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